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Simplifying (5x + 4) + (7x + -10) = 90 Reorder the terms: (4 + 5x) + (7x + -10) = 90 Remove parenthesis around (4 + 5x) 4 + 5x + (7x + -10) = 90 Reorder the terms: 4 + 5x + (-10 + 7x) = 90 Remove parenthesis around (-10 + 7x) 4 + 5x + -10 + 7x = 90 Reorder the terms: 4 + -10 + 5x + 7x = 90 Combine like terms: 4 + -10 = -6 -6 + 5x + 7x = 90 Combine like terms: 5x + 7x = 12x -6 + 12x = 90 Solving -6 + 12x = 90 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 12x = 90 + 6 Combine like terms: -6 + 6 = 0 0 + 12x = 90 + 6 12x = 90 + 6 Combine like terms: 90 + 6 = 96 12x = 96 Divide each side by '12'. x = 8 Simplifying x = 8
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